Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240bg |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
512479044000000 = 28 · 32 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-628836,191722464] |
[a1,a2,a3,a4,a6] |
Generators |
[162:9702:1] |
Generators of the group modulo torsion |
j |
107422839278466723664/2001871265625 |
j-invariant |
L |
5.311030777935 |
L(r)(E,1)/r! |
Ω |
0.48024354252159 |
Real period |
R |
0.92158635978193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480c2 73920br2 27720v2 46200f2 |
Quadratic twists by: -4 8 -3 5 |